Question

"The drawing below is a scale drawing of an equilateral pentagon with sides of 3 cm. The scale factor between the scale drawing and the actual object is 1 cm: 4 m. Determine the perimeter of the actual object."

a) 12 m
b) 15 m
c) 18 m
d) 24 m

Answer 1

To find the perimeter of the actual object, multiply the scale drawing's side length by the scale factor and then multiply by the number of sides.

Step-by-step explanation:

To determine the perimeter of the actual object, we need to first find the length of one side of the pentagon using the scale factor. Since the scale factor is 1 cm: 4 m, we can convert the 3 cm side length of the scale drawing to meters by multiplying it by the scale factor: 3 cm * (1 cm / 4 m) = 3/4 m = 0.75 m. Since the pentagon is equilateral, all sides have the same length, so the perimeter of the actual object is 5 * 0.75 m = 3.75 m.